@article{(Open Science Index):https://publications.waset.org/pdf/10005293, title = {On Four Models of a Three Server Queue with Optional Server Vacations}, author = {Kailash C. Madan}, country = {}, institution = {}, abstract = {We study four models of a three server queueing system with Bernoulli schedule optional server vacations. Customers arriving at the system one by one in a Poisson process are provided identical exponential service by three parallel servers according to a first-come, first served queue discipline. In model A, all three servers may be allowed a vacation at one time, in Model B at the most two of the three servers may be allowed a vacation at one time, in model C at the most one server is allowed a vacation, and in model D no server is allowed a vacation. We study steady the state behavior of the four models and obtain steady state probability generating functions for the queue size at a random point of time for all states of the system. In model D, a known result for a three server queueing system without server vacations is derived.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {10}, number = {8}, year = {2016}, pages = {400 - 404}, ee = {https://publications.waset.org/pdf/10005293}, url = {https://publications.waset.org/vol/116}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 116, 2016}, }